On Semigroups of Intermediate Growth
L. M. Shneerson · Communications in Algebra · 2004
We prove that intermediate growth of finitely generated (f.g.) semigroups can be arbitrarily large. Namely, for every monotone non-decreasing mapping f : N → R + such that f(m) = o(c m ) for any c > 1, we construct a 2-generated semigroup whose growth is larger than the growth of f, but smaller than exponential.